Answer
False
Work Step by Step
In the given statement, the coefficient of $c_n$ of $x^n$ from the power series is $c_n=\sum_{k=0}^{n} a_kb_{n-k}$ .
Therefore, the given statement is $\bf{False}$.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 11 - Series Solutions to Linear Differential Equations - 11.1 A Review of Power Series - True-False Review - Page 730: i
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